A charged ball \(B\) hangs from a silk thread \(S,\) which makes an angle \(\theta\) with a large charged conducting sheet \(P,\) as shown in the figure. The surface charge density \(\sigma\) of the sheet is proportional to: 

1. \(\sin\theta\)

2. \(\tan\theta\)

3. \(\cos\theta\)

4. \(\cot\theta\)

Subtopic:  Electric Field |
 62%
From NCERT
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An electron enters an electric field with its velocity in the direction of the electric lines of force. Then: 

1. the path of the electron will be a circle. 2. the path of the electron will be a parabola.
3. the velocity of the electron will decrease. 4. the velocity of the electron will increase.

Subtopic:  Electric Field |
 58%
From NCERT
PMT - 2000
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Three identical positive point charges, as shown are placed at the vertices of an isosceles right-angled triangle. Which of the numbered vectors coincides in direction with the electric field at the mid-point \(M\) of the hypotenuse?
                 
1. \(1\)
2. \(2\)
3. \(3\)
4. \(4\)

Subtopic:  Electric Field |
 78%
From NCERT
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An infinite number of charges, each of charge \(1\) μC, are placed on the \(x\)-axis with co-ordinates \(x\) = 1, 2, 4, 8, ....∞. If a charge of \(1\) C is kept at the origin, then what is the net force acting on \(1~\text{C}\) charge?
1. \(9000\) N 2. \(12000\) N
3. \(24000\) N 4. \(36000\) N
Subtopic:  Coulomb's Law |
 66%
From NCERT
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Five balls numbered 1 to 5 are suspended using separate threads. Pairs (1, 2), (2, 4), and (4, 1) show electrostatic attraction, while pairs (2, 3) and (4, 5) show repulsion. Therefore ball 1 must be:

1. positively charged.

2. negatively charged.

3. neutral.

4. made of metal.

Subtopic:  Coulomb's Law |
 68%
From NCERT
PMT - 2003
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Two charges \(+2\) C and \(+6\) C are repelling each other with a force of \(12\) N. If each charge is given \(-2\) C of charge, then the value of the force will be:

1. \(4\) N (attractive) 2. \(4\) N (repulsive)
3. \(8\) N (repulsive) 4. zero
Subtopic:  Coulomb's Law |
 77%
From NCERT
PMT - 1979
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Two small spheres each having the charge \(+Q\) are suspended by insulating threads of length \(L\) from a hook. If this arrangement is taken in space where there is no gravitational effect, then the angle between the two suspensions and the tension in each will be:

1. 180o, 14πε0Q2(2L)2

2. 90o, 14πε0Q2L2

3. 180o, 14πε0Q22L2

4. 180o, 14πε0Q2L2 

Subtopic:  Coulomb's Law |
 68%
From NCERT
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A total charge \(Q\) is broken in two parts \(Q_1\) and \(Q_2\) and they are placed at a distance \(R\) from each other. The maximum force of repulsion between them will occur, when:

1. \(Q_2=\frac{Q}{R}, Q_1=Q-\frac{Q}{R}\)            
2. \(Q_2=\frac{Q}{4}, Q_1=Q-\frac{2 Q}{3}\)            
3. \(Q_2=\frac{Q}{4}, Q_1=\frac{3 Q}{4}\)            
4. \(Q_1=\frac{Q}{2}, Q_2=\frac{Q}{2}\)            

Subtopic:  Coulomb's Law |
 84%
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The electrostatic field due to a charged conductor just outside the conductor is:

1. zero and parallel to the surface at every point inside the conductor.
2. zero and is normal to the surface at every point inside the conductor.
3. parallel to the surface at every point and zero inside the conductor.
4. normal to the surface at every point and zero inside the conductor.

Subtopic:  Electric Field |
 70%
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Suppose the charge of a proton and an electron differ slightly. One of them is \(-e\), the other is (\(e+\Delta e\)). If the net of electrostatic force and gravitational force between two hydrogen atoms placed at a distance \(d\) (much greater than atomic size) apart is zero, then \(\Delta e\) is of the order of? (Given mass of hydrogen \(m_h = 1.67\times 10^{-27}~\text{kg}\))
1. \(10^{-23}~\text{C}\)
2. \(10^{-37}~\text{C}\)
3. \(10^{-47}~\text{C}\)
4. \(10^{-20}~\text{C}\)

Subtopic:  Coulomb's Law |
 65%
From NCERT
NEET - 2017
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